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Finding the Fourth Proportional to 228.43, 342.74 and 106.67

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Solution

The fourth proportional to 228.43, 342.74 and 106.67 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.43 : 342.74 = 106.67 : x
  2. Step 2: Convert to fraction form
    228.43/342.74 = 106.67/x
  3. Step 3: Cross multiply
    228.43x = 342.74 × 106.67
  4. Step 4: Simplify right side
    228.43x = 36,559.54
  5. Step 5: Solve for x
    x = 36,559.54/228.43
  6. Step 6: Final answer
    x = 160.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.